Home   Tell-A-Friend    Discussion Board   Contact Us

civil engineer

Treasure of Civil Engineering Resources

Course materials, Books, Computer software, Quiz,  Conferences, Journals, Research theses, Jobs, Products, Services etc.

                          Shear Force and Bending Moment - Solved example for overhanging beam  

Problem 5-3

Calculate the values and draw the diagrams for shearing force and bending moment for the following overhanging beam shown in figure 5-3(a).

overhanging beam

Figure 5-3(a)


The free-body-diagram is shown in figure 5-3(b). The unknown reaction components of the beam are calculated in Prob 4-2 as  Ax=0,  Ay = -10 kN and By = 55 kN;

 Shearing force calculations

 In case of point load acting at a point, we should calculate shear force on both sides (left and right) of the point.

FA-left = 0;

FA-right = -10 kN;

FC = -10 kN;

FB-left = -10 5x4 = - 30 kN;

FB -right = -10 5x4 + 55 = +25 kN;

FD-left = +25 kN;

FD-right = +25-25 = 0;

 The values of shear force are plotted in SFD in figure 5-3(b)

Bending moment calculations

MA = 0;

MC = -10x2 = -20 kNm;

MB = -10x6 5x4x2 = -60 -40 = -100 kNm;

MD = 0;

The values of bending moment are plotted in BMD.in figure 5-3(b)

Featured Links

Moment Distribution CalculatorNew

Easy to use calculator for solving  Indeterminate beams with different load

Overhanging Beam CalculatorNew

Bending Moment & Shear Force Calculation for Overhanging beam with different loads

Fixed Beam CalculatorNew

Fixed end moment, bending moment & reaction calculation for fixed beam

Moment of Inertia calculatorNew

For different sections including I-section and T-section.

Deflection Calculator

Easy to use calculator for different loads on beams

Problem SolverNew

A collection of illustrated solved examples for civil engineers.

RC Beam CalculatorNew

Calculate the strength of reinforced concrete beams

Reinforced concreteNew

Analysis and design of reinforced concrete structures

Bending Moment calculatorNew

Calculate Bending moments for simply supported beams


A collection of quiz in different areas of civil engineering

CE HorizonNew

Online Civil Engineering Journal and Magazine

Profile of Civil EngineersNew

Get to know about distinguished civil engineers

shear force and bending moment diagram

Figure 5-3(b)

The bending moment diagram shows that bending moment is hogging throughout the span of the beam and maximum BM is at B (shear force changes sign at B). The bending moment diagram is straight line from A to C (due to point load), parabolic from C to B (due to udl) and straight line from B to D (due to point load).  It is important to note that the parabola is a increasing parabola (means slope is increasing) because the shear force is increasing from C to B. Rate of change of bending moment is equal to shear force.

More examples on shear and moment diagrams

Example 5-1  Example 5-2   Example 5-4

You can also use our Free online calculators given below

(i)  bending moment & shear force calculator for Cantilever

(ii) Bending moment & shear force calculator for Simple supported beam

(iii) Bending moment & shear force calculator for Overhanging beam

(iv) Bending moment & shear force calculator for Fixed beam

(v) Calculator for Continuous beam

For other problems please visit our Problem SolverNew


If you don't find the required information please suggest us We are updating the website regularly.

Join the mailing list to get informed about new products or links


Applied Mechanics 

Structural Analysis 

Design of Structures

Construction Materials

Engineering Graphics

Disaster Management



Land Surveying


Environmental Engineering

Irrigation Engineering

Offshore Engineering

Construction Management 

Quantity Surveying

Construction Disputes

Construction Technology

Construction Equipments

Research Papers

Journals & Magazines

Construction Companies


Professional Societies

Computer Software 


Photo Album



Join us

Job Search

Book Store


Colleges & Universities

Learning Support

Last updated on Saturday October 26, 2013